Nonlinear Dynamics

, Volume 88, Issue 4, pp 2329–2346 | Cite as

Towards control of cross-flow-induced vibrations based on energy harvesting

Original Paper

Abstract

The active control approach generally requires power input to suppress vibrations of structures, while the conventional passive manner often causes waste of energy after transferring vibrations of the primary structure to the auxiliary system. In this work, an innovative control strategy based on energy harvesting for efficiently suppressing the cross-flow-induced vibrations such as galloping is proposed. The novel design facilitates the harvester of not only alleviating the oscillation of the primary structure but also seizing the transferred vibrational energy. An analytical model for the coupled nonlinear dynamical system is established by utilizing the Euler–Lagrange principle and implementing the Galerkin discretization. The impacts of the electrical load resistance and tip mass of the energy harvester on the coupled frequency, damping, and the onset speed of instability of the coupled multi-mode system are investigated in details. The results show that there exists an optimal load resistance for each tip mass which maximizes the onset speed of galloping. For control purposes, it is found that there is a well-defined tip mass of the energy harvester at which the coupled system has the highest onset speed of instability, and hence, the bluff body has the lowest vibration amplitude for all considered load resistances. However, to efficiently harvest energy and control the bluff body, both the tip mass of the energy harvester and electrical load resistance can be accurately determined.

Keywords

Cross-flow-induced vibration Control strategy Energy harvesting Multi-mode Energy transferring 

Notes

Acknowledgements

The authors gratefully acknowledge the support provided by the Fundamental Research Funds for the Central Universities, HUST (2015MS070) and the National Natural Science Foundation of China (Nos. 11602090 and 11622216).

References

  1. 1.
    Alkhatib, R., Golnaraghi, M.F.: Active structural vibration control: a review. Shock Vib. Dig. 35, 367 (2003)CrossRefGoogle Scholar
  2. 2.
    Dai, H.L., Wang, L., Qian, Q., Ni, Q.: Vortex-induced vibrations of pipes conveying fluid in subcritical and supercritical regimes. J Fluids Struct. 39, 322–334 (2013)CrossRefGoogle Scholar
  3. 3.
    Dai, H.L., Wang, L., Qian, Q., Ni, Q.: Vortex-induced vibrations of pipes conveying pulsating fluid. Ocean Eng. 77, 12–24 (2014)CrossRefGoogle Scholar
  4. 4.
    Zhao, Y.Y., Xu, J.: Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system. Nonlinear Dyn. 67, 735–753 (2012)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Enríquez-Zárate, J., Silva-Navarro, G., Abundis-Fong, H.F.: Active vibration suppression through positive acceleration feedback on a building-like structure: an experimental study. Mech. Syst. Sig. Process. 72–73, 451–461 (2016)CrossRefGoogle Scholar
  6. 6.
    Abdelkefi, A., Nuhait, A.O.: Modeling and performance analysis of cambered wing-based piezoaeroelastic energy harvesters. Smart Mater. Struct. 22, 095029 (2013)CrossRefGoogle Scholar
  7. 7.
    DePaula, A.S., Inman, D.J., Savi, M.A.: Energy harvesting in a nonlinear piezomagnetoelastic beam subjected to random excitation. Mech. Syst. Sig. Process. 54–55, 405–416 (2015)CrossRefGoogle Scholar
  8. 8.
    Abdelmoula, H., Abdelkefi, A.: The potential of electrical impedance on the performance of galloping systems for energy harvesting and control applications. J. Sound Vib. 370, 191–208 (2016)CrossRefGoogle Scholar
  9. 9.
    Gatti, G., Brennan, M.J., Tehrani, M.G., Thompson, D.J.: Harvesting energy from the vibration of a passing train using a single-degree-of-freedom oscillator. Mech. Syst. Sig. Process. 66–67, 785–792 (2016)CrossRefGoogle Scholar
  10. 10.
    Paidoussis, M.P., Price, S.J., de Langre, E.: Fluid Structure Interactions: Cross-Flow-Induced Instabilities. Cambridge University Press, Cambridge (2011)MATHGoogle Scholar
  11. 11.
    Zdravkovich, M.M.: Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding. J. Wind Eng. Ind. Aerodyn. 7, 145–189 (1981)CrossRefGoogle Scholar
  12. 12.
    Tang, L., Padoussis, M.P., Jiang, J.: Cantilevered flexible plates in axial flow: energy transfer and the concept of flutter mill. J. Sound Vib 326, 263–276 (2009)CrossRefGoogle Scholar
  13. 13.
    Dai, H.L., Abdelkefi, A., Javed, U., Wang, L.: Modeling and performance of electromagnetic energy harvesting from galloping oscillations. Smart Mater. Struct. 24, 045012 (2015)CrossRefGoogle Scholar
  14. 14.
    Dai, H.L., Abdelkefi, A., Yang, Y., Wang, L.: Orientation of bluff body for designing efficient energy harvesters from vortex-induced vibrations. Appl. Phys. Lett. 108, 053902 (2016)CrossRefGoogle Scholar
  15. 15.
    Akaydin, H.D., Elvin, N., Andreopoulos, Y.: The performance of a self-excited fluidic energy harvester. Smart Mater. Struct. 21, 025007 (2012)CrossRefGoogle Scholar
  16. 16.
    Yang, Y.W., Zhao, L.Y., Tang, L.H.: Comparative study of tip cross-sections for efficient galloping energy harvesting. Appl. Phys. Lett. 102, 064105 (2013)CrossRefGoogle Scholar
  17. 17.
    Dai, H.L., Abdelkefi, A., Wang, L.: Piezoelectric energy harvesting from concurrent vortex-induced vibrations and base excitations. Nonlinear Dyn. 77, 967–981 (2014)CrossRefGoogle Scholar
  18. 18.
    Abdelkefi, A.: Aeroelastic energy harvesting: a review. Int. J. Eng. Sci. 100, 112–135 (2016)CrossRefGoogle Scholar
  19. 19.
    Gattulli, V., Ghanem, R.: Adaptive control of flow-induced oscillations including vortex effects. Int. J. Nonlinear Mech. 34, 853–868 (1999)CrossRefMATHGoogle Scholar
  20. 20.
    Dai, H.L., Abdelkefi, A., Wang, L.: Usefulness of passive nonlinear energy sinks in controlling galloping vibrations. Int. J. Nonlinear Mech. 81, 83–94 (2016)CrossRefGoogle Scholar
  21. 21.
    Li, F.M.: Active aeroelastic flutter suppression of a supersonic plate with piezoelectric material. Int. J. Eng. Sci. 51, 190–203 (2012)MathSciNetCrossRefGoogle Scholar
  22. 22.
    Dai, H.L., Wang, L.: Dynamics of a fluid-conveying cantilever composed of two different materials. Int. J. Eng. Sci. 73, 67–76 (2013)CrossRefGoogle Scholar
  23. 23.
    Patnaik, B.S.V., Wei, G.W.: Controlling wake turbulence. Phys. Rev. Lett. 88, 35–40 (2002)Google Scholar
  24. 24.
    Korkischko, I., Meneghini, J.R.: Suppression of vortex-induced vibration using moving surface boundary-layer control. J. Fluids Struct. 34, 259–270 (2012)CrossRefGoogle Scholar
  25. 25.
    Wu, C.J., Wang, L., Wu, J.Z.: Suppression of the von Karman vortex street behind a circular cylinder by a traveling wave generated by a flexible surface. J. Fluid Mech. 574, 365–391 (2007)MathSciNetCrossRefMATHGoogle Scholar
  26. 26.
    Quadrante, L.A.R., Nishi, Y.: Amplification/suppression of flow-induced motions of an elastically mounted circular cylinder by attaching tripping wires. J. Fluids Struct. 48, 93–102 (2014)CrossRefGoogle Scholar
  27. 27.
    Pereira, M.F.V., Balthazar, J.M., dos Santos, D.A., et al.: A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems. Nonlinear Dyn. (2016). doi: 10.1007/s11071-016-3140-3 Google Scholar
  28. 28.
    Baz, A., Ro, J.: Active control of flow-induced vibrations of a flexible cylinder using direct velocity feedback. J. Sound Vib. 146, 33–45 (1991)CrossRefGoogle Scholar
  29. 29.
    Dai, H.L., Abdelkefi, A., Wang, L., Liu, W.B.: Control of cross-flow-induced vibrations of square cylinders using linear and nonlinear delayed feedbacks. Nonlinear Dyn. 78, 907–919 (2014)MathSciNetCrossRefGoogle Scholar
  30. 30.
    Dai, H.L., Abdelkefi, A., Wang, L., Liu, W.B.: Time-delay feedback controller for amplitude reduction in vortex-induced vibrations. Nonlinear Dyn. 80, 59–70 (2015)MathSciNetCrossRefMATHGoogle Scholar
  31. 31.
    Tumkur, R.K.R., Domany, E., Gendelman, O.V., Masud, A., Bergman, L.A., Vakakis, A.F.: Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber. Commun. Nonlinear Sci. 18, 1916–1930 (2013)MathSciNetCrossRefMATHGoogle Scholar
  32. 32.
    Mehmood, A., Nayfeh, A.H., Hajj, M.R.: Effects of a non-linear energy sink (NES) on vortex-induced vibrations of a circular cylinder. Nonlinear Dyn. 77, 667–680 (2014)CrossRefGoogle Scholar
  33. 33.
    Gendelman, V., Starosvetsky, Y., Feldman, M.: Attractors of harmonically forced linear oscillator with attached nonlinear energy sink: description of response regimes. Nonlinear Dyn. 51, 31–46 (2008)CrossRefMATHGoogle Scholar
  34. 34.
    Dai, H.L., Abdelkefi, A., Wang, L.: Vortex-induced vibrations mitigation through a nonlinear energy sink. Commun. Nonlinear Sci. 42, 22–36 (2017)CrossRefGoogle Scholar
  35. 35.
    Barrero-Gil, A., Alongso, G., Sanz-Andres, A.: Energy harvesting from transverse galloping. J Sound Vib. 329, 2873–2883 (2010)CrossRefGoogle Scholar
  36. 36.
    Parkinson, G.V., Smith, J.D.: The square prism as an aeroelastic nonlinear oscillator. Q. J. Mech. Appl. Math. 17, 225–239 (1964)CrossRefMATHGoogle Scholar
  37. 37.
    Krylov, S., Maimon, R.: Pull-in dynamics of an elastic beam actuated by continuously distributed electrostatic force. J. Vib. Acoust. 126, 332–342 (2004)CrossRefGoogle Scholar
  38. 38.
    Abdelkefi, A., Yan, Z., Hajj, M.R.: Performance analysis of galloping-based piezoaeroelastic energy harvesters with different cross-section geometries. J. Intell. Mater. Syst. Struct. 25, 246–256 (2014)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  • H. L. Dai
    • 1
    • 2
  • H. Abdelmoula
    • 3
  • A. Abdelkefi
    • 3
  • L. Wang
    • 1
    • 2
  1. 1.Department of MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.Hubei Key Laboratory for Engineering Structural Analysis and Safety AssessmentWuhanChina
  3. 3.Department of Mechanical and Aerospace EngineeringNew Mexico State UniversityLas CrucesUSA

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